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Definition Classes
root
package scalaz
Scalaz: Type classes and pure functional data structures for Scala.
Scalaz: Type classes and pure functional data structures for Scala.
This package, scalaz, contains:
- type class definitions
- data structures
- related functions
Type class instances and other functions related to the Scala and Java standard library are in scalaz.std
Implicit conversions and wrapper classes that provide a more convenient syntax for accessing the functionality of the library are in scalaz.syntax.
Type Classes Index
- scalaz.Semigroup
- scalaz.Monoid extends scalaz.Semigroup
- scalaz.Equal
- scalaz.Show
- scalaz.Order extends scalaz.Equal
- scalaz.Enum extends scalaz.Order
- scalaz.Plus
- scalaz.PlusEmpty extends scalaz.Plus
- scalaz.IsEmpty extends scalaz.PlusEmpty
- scalaz.Optional
- scalaz.InvariantFunctor
- scalaz.Functor extends scalaz.InvariantFunctor
- scalaz.Contravariant extends scalaz.InvariantFunctor
- scalaz.Divide extends scalaz.Contravariant
- scalaz.Divisible extends scalaz.Divide
- scalaz.Apply extends scalaz.Functor
- scalaz.Applicative extends scalaz.Apply
- scalaz.Align extends scalaz.Functor
- scalaz.Zip
- scalaz.Unzip
- scalaz.Cozip
- scalaz.Bind extends scalaz.Apply
- scalaz.BindRec extends scalaz.Bind
- scalaz.Monad extends scalaz.Applicative with scalaz.Bind
- scalaz.Cobind extends scalaz.Functor
- scalaz.Comonad extends scalaz.Cobind
- scalaz.ApplicativePlus extends scalaz.Applicative with scalaz.PlusEmpty
- scalaz.MonadPlus extends scalaz.Monad with scalaz.ApplicativePlus
- scalaz.Foldable
- scalaz.Foldable1 extends scalaz.Foldable
- scalaz.Traverse extends scalaz.Functor with scalaz.Foldable
- scalaz.Traverse1 extends scalaz.Traverse with scalaz.Foldable1
- scalaz.Associative
- scalaz.Bifunctor
- scalaz.Bifoldable
- scalaz.Bitraverse extends scalaz.Bifunctor with scalaz.Bifoldable
- scalaz.Catchable
- scalaz.Nondeterminism extends scalaz.Monad
- scalaz.Compose
- scalaz.Profunctor
- scalaz.Strong extends scalaz.Profunctor
- scalaz.ProChoice extends scalaz.Profunctor
- scalaz.Category extends scalaz.Compose
- scalaz.Choice extends scalaz.Category
- scalaz.Split extends scalaz.Compose
- scalaz.Arrow extends scalaz.Split with scalaz.Strong with scalaz.Category
- scalaz.MonadState extends scalaz.Monad
- scalaz.MonadError extends scalaz.Monad
- scalaz.MonadTell extends scalaz.Monad
- scalaz.MonadReader extends scalaz.Monad
- scalaz.ComonadStore extends scalaz.Comonad
Data Structures Index
- scalaz.Validation Represent computations that may succeed or fail, accumulating multiple errors.
- scalaz.NonEmptyList A list containing at least one element.
- scalaz.DList A difference list, supporting efficient append and prepend.
- scalaz.EphemeralStream A stream that holds weak references to its elements, and recomputes them if needed if reclaimed by the garbage collector.
- scalaz.Heap A priority queue, implemented with bootstrapped skew binomial heaps.
- scalaz.Endo Represents functions from A => A.
- scalaz.FingerTree A tree containing elements at it's leaves, and measures at the nodes. Can be adapted to various purposes by choosing a different measure, for example scalaz.IndSeq and scalaz.OrdSeq.
- scalaz.Lens Composable, functional alternative to getters and setters
- scalaz.Tree A multiway tree. Each node contains a single element, and a Stream of sub-trees.
- scalaz.TreeLoc A cursor over a scalaz.Tree.
- scalaz.Zipper A functional cursor over a List.
- scalaz.Kleisli Represents a function A => M[B], allowing chaining. Also known, and aliased, as scalaz.ReaderT.
- scalaz.StateT Computations that modify state.
- scalaz.WriterT Computations that log a value
- scalaz.OptionT Represents computations of type F[Option[A]]
- scalaz.MaybeT Represents computations of type F[Maybe[A]]
- scalaz.EitherT Represents computations of type F[A \/ B]
Definition Classes
root
trait Semigroup[F] extends AnyRef
An associative binary operation, circumscribed by type and the semigroup laws.
An associative binary operation, circumscribed by type and the semigroup laws. Unlike scalaz.Monoid, there is not necessarily a zero.

Definition Classes
scalaz
See also
http://mathworld.wolfram.com/Semigroup.html
scalaz.syntax.SemigroupOps
scalaz.Semigroup.SemigroupLaw
SemigroupApply
SemigroupCompose
SemigroupLaw

t

scalaz.Semigroup

SemigroupLaw

trait SemigroupLaw extends AnyRef

A semigroup in type F must satisfy two laws:

closure: ∀ a, b in F, append(a, b) is also in F. This is enforced by the type system.
associativity: ∀ a, b, c in F, the equation append(append(a, b), c) = append(a, append(b , c)) holds.

Source: Semigroup.scala

Linear Supertypes

Known Subclasses

BandLaw, MonoidLaw, SemiLatticeLaw

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